Weighted generalized weak type inequalities for modified Hardy operators.
Pedro Ortega Salvador (2000)
Collectanea Mathematica
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Pedro Ortega Salvador (2000)
Collectanea Mathematica
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Amiran Gogatishvili, Canay Aykol, Vagif S. Guliyev (2015)
Studia Mathematica
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We characterize associate spaces of generalized weighted weak-Lorentz spaces and use this characterization to study embeddings between these spaces.
Imoru, C.O., Adeagbo-Sheikh, A.G. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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E. Sawyer (1985)
Studia Mathematica
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Steven Bloom, Ron Kerman (1994)
Studia Mathematica
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Necessary and sufficient conditions are given on the weights t, u, v, and w, in order for to hold when and are N-functions with convex, and T is the Hardy operator or a generalized Hardy operator. Weak-type characterizations are given for monotone operators and the connection between weak-type and strong-type inequalities is explored.
Zheng, Qing-Yu, Fu, Zun-Wei (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Suket Kumar (2018)
Commentationes Mathematicae Universitatis Carolinae
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Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.
Alois Kufner, Lars-Erik Persson, Anna Wedestig (2004)
Banach Center Publications
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Steven Bloom (1997)
Studia Mathematica
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Let , where k is a nonnegative kernel increasing in x, decreasing in y, and satisfying a triangle inequality. An nth-order Opial inequality has the form . Such inequalities can always be simplified to nth-order reduced inequalities, where the exponent . When n = 1, the reduced inequality is a standard weighted norm inequality, and characterizing the weights is easy. We also find necessary and sufficient conditions on the weights for second-order reduced Opial inequalities to hold. ...
R. Kerman, A. Torchinsky (1982)
Studia Mathematica
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Kenneth Andersen, Benjamin Muckenhoupt (1982)
Studia Mathematica
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James Adedayo Oguntuase (2001)
Kragujevac Journal of Mathematics
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Ze-Hua Zhou, Yu-Xia Liang, Xing-Tang Dong (2012)
Annales Polonici Mathematici
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This paper characterizes the boundedness and compactness of weighted composition operators between a weighted-type space and the Hardy space on the unit ball of ℂⁿ.
Raman Adegoke, James Adedayo Oguntuase (2001)
Kragujevac Journal of Mathematics
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